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Questions >> TN XII Math

TN XII Math

Applications of Matrices and Determinants

Complex Numbers

Analytical Geometry

Differential Calculus Applications - I

Differential Calculus Applications - II

Integral Calculus and its applications

Differential Equations

Discrete Mathematics

Probability Distribution

Objective type Questions and Answers

The asymptotes of the hyperbola $36y^{2}-25x^{2}+900=0$ are

asked May 14, 2013 by poojasapani_1

1 answer

The angle between the asymptotes to the hyperbola $\large\frac{x^{2}}{16}-\frac{y^{2}}{9}=$ $1$ is

asked May 14, 2013 by poojasapani_1

1 answer

The equation of the chord of contact of tangents from $(2 , 1 )$ to the hyperbola $\large\frac{x^{2}}{16}-\frac{y^{2}}{9}$ $=1$ is

asked May 14, 2013 by poojasapani_1

1 answer

The line $5x-2y+4k=0$ is a tangent to $4x^{2}-y^{2}=36$ then $k$ is

asked May 14, 2013 by poojasapani_1

1 answer

The directrices of the hyperbola $x^{2}-4(y-3)^{2}=16$ are

asked May 14, 2013 by poojasapani_1

1 answer

The difference between the focal dintences of any point on the hyperbola $\large\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=$ $1$ is $24$ and the eccentricity is $2$ . Then the equation of the hyperbola is

asked May 14, 2013 by poojasapani_1

1 answer

The eccentricity of the hyperbola $12y^{2}-4x^{2}-24x+48y-127=0$ is

asked May 14, 2013 by poojasapani_1

1 answer

The eccentricity of the hyperbola whose latus rectum is equal to half of its conjugate axis is

asked May 14, 2013 by poojasapani_1

1 answer

The locus of foot of perpendicular from the focus to a tangent of the curve $16x^{2}+25y^{2}=400$ is

asked May 13, 2013 by poojasapani_1

1 answer

The radius of the director circle of the conic $9x^{2}+16y^{2}=144$ is

asked May 13, 2013 by poojasapani_1

1 answer

The sum of the distance of any point on the ellipse $4x^{2}+9y^{2}=36$ from $(\sqrt{5},0) and (-\sqrt{5} ,0)$ is

asked May 13, 2013 by poojasapani_1

1 answer

The straight line $2x-y+c=0$ is a tangent to the ellipse $4x^{2}+8y^{2}=32$ if $c$ is

asked May 13, 2013 by poojasapani_1

1 answer

If the length of major and semi-minor axis of an ellipse are $8 , 2$ and their corresponding equations are $y-6=0$ and $x+4=0$ then the equations of the ellipse is

asked May 13, 2013 by poojasapani_1

1 answer

The distance between the foci of the ellipse $9x^{2}+5y^{2}=180$ is

asked May 13, 2013 by poojasapani_1

1 answer

The length of the semi-major and the length of the semi-minor axis of the ellipse $\large\frac{x^{2}}{144}+\frac{y^{2}}{169}$ = $1$ are

asked May 13, 2013 by poojasapani_1

1 answer

The eccentricity of the conic $9x^{2}+5y^{2}-54x-40y+116=0$ is

asked May 13, 2013 by poojasapani_1

1 answer

The angle between the two tangents drawn from the point $(-4 , 4)$ to $y^{2}=16x$ is

asked May 13, 2013 by poojasapani_1

1 answer

The tangents at the end of any focal chord to the parabola $y^{2}=12x$ intersect on the line

asked May 13, 2013 by poojasapani_1

1 answer

The line $2x+3y+9=0$ touches the parabola $y^{2}=8x$ at the point

asked May 13, 2013 by poojasapani_1

1 answer

The vertex of the parabola $x^{2}=8y-1$ is

asked May 13, 2013 by poojasapani_1

1 answer

The focus of the parabola $x^{2}=16y$ is

asked May 13, 2013 by poojasapani_1

1 answer

The length of the latus rectum of the parabola whose vertex is $(2 ,-3)$ and the directrix $x=4$ is

asked May 13, 2013 by poojasapani_1

1 answer

The diretrix of the parabola $y^{2}=x+4$ is

asked May 13, 2013 by poojasapani_1

1 answer

The length of the latus rectum of the parabola $y^{2}-4x+4y+8=0$ is

asked May 13, 2013 by poojasapani_1

1 answer

The point of intersection of the tangents at $t_{1}=t$ and $t_{2}=3t$ to the parabola $y^{2}=8x$ is

asked May 13, 2013 by poojasapani_1

1 answer

The line $4x+2y=c$ is a tangent to the parabola $y^{2}=16x$ then $c$ is

asked May 13, 2013 by poojasapani_1

1 answer

$16x^{2}-3y^{2}-32x-12y-44=0$ represents

asked May 13, 2013 by poojasapani_1

1 answer

The axis of the parabola $y^{2}-2y+8x-23=0$ is

asked May 13, 2013 by poojasapani_1

1 answer

If $\omega$ is a cube root of unity then the value of $(1-\omega)(1-\omega^{2})(1-\omega^{4})(1-\omega^{8})$ is

asked May 13, 2013 by poojasapani_1

1 answer

If $\omega$ is the $n$ th root of unity then

asked May 13, 2013 by poojasapani_1

1 answer

If $\omega$ is a cube root of unity then the value of $(1-\omega+\omega^{2})^{4}+(1+\omega-\omega^{2})^{4}$ is

asked May 13, 2013 by poojasapani_1

1 answer

If $-i+3$ is a root of $x^{2}-6x+k=0$ then the value of $k$ is

asked May 13, 2013 by poojasapani_1

1 answer

If $\large\frac{1-i}{1+i}$ is a root of the equation $ax^{2}+bx+1=0$ where $a ,b$ are real then $(a , b)$ is

asked May 13, 2013 by poojasapani_1

1 answer

The equation having $4-3j$ and $4+3j$ as roots is

asked May 13, 2013 by poojasapani_1

1 answer

The quadratic equation whose roots are $\pm\;i\sqrt{7}$ is

asked May 13, 2013 by poojasapani_1

1 answer

If $-i+2$ is one root of the equation $ax^{2}-bx+c=0$ , then the other root is

asked May 13, 2013 by poojasapani_1

1 answer

The conjugate of $i^{13}+i^{14}+i^{15}+i^{16}$ is

asked May 12, 2013 by poojasapani_1

1 answer

The value of $i+i^{22}+i^{23}+i^{24}+i^{25}$ is

asked May 12, 2013 by poojasapani_1

1 answer

$z_{1}=4+5i,z_{2}=-3+2i$ then $\large\frac{z_{1}}{z_{2}}$ is

asked May 12, 2013 by poojasapani_1

1 answer

If $a=\cos\alpha- i \sin \alpha,b=\cos\beta-i \sin\beta,c=\cos\gamma-i\sin\gamma$ then $(a^{2} c^{2} -b^{2})/abc$ is

asked May 12, 2013 by poojasapani_1

0 answers

If * is a binary operation defined in $Q^+$ as $ab=\large\frac{ab}{3}$ , then the inverse element of 46 is ?

asked May 12, 2013 by rvidyagovindarajan_1

1 answer

If $x=\cos\theta+i\sin\theta$ the value of $x^{n}+\large\frac{1}{x^{n}}$ is

asked May 12, 2013 by poojasapani_1

1 answer

If $-\overline{z}$ lies in the third quadrant then $z$ lies in the

asked May 12, 2013 by poojasapani_1

1 answer

If $z_{n}=\cos\large\frac{n\pi}{3}$ $+i\sin\large\frac{n\pi}{3}$ then $z_{1}z_{2} \dots\;z_{6}$ is

asked May 12, 2013 by poojasapani_1

1 answer

$\large\frac{1+e^{-i\theta}}{1+e^{i\theta}}$ =

asked May 12, 2013 by poojasapani_1

1 answer

If $p$ represents the veriable complex number $z$ and if $|2z-1|=2|z|$ then the locus of $p$ is

asked May 12, 2013 by poojasapani_1

1 answer

The polar form of the complex number $(i^{25})^{3}$ is

asked May 12, 2013 by poojasapani_1

1 answer

If the point represented by the complex number $iz$ is rotated about the origin through the angle $\large\frac{\pi}{2}$ in the counter clockwise direction then the complex number representing the new position is

asked May 12, 2013 by poojasapani_1

1 answer

If the amplitude of a complex number is $\pi/2$ then the number is

asked May 12, 2013 by poojasapani_1

1 answer

If $z$ represents a complex number then arg $(z)+arg(\overline{z})$ is

asked May 12, 2013 by poojasapani_1

1 answer

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